A NEW NUMERICAL APPROACH TO THE SOLUTION OF PARTIAL DIFFERENTIAL EQUATIONS WITH OPTIMAL ACCURACY ON IRREGULAR DOMAINS AND CARTESIAN MESHES

Differential Equations ◽

Numerical Approach ◽

Irregular Domains ◽

Partial Differential ◽

Cartesian Meshes ◽

Optimal Accuracy

An efficient numerical approach for space fractional partial differential equations

Alexandria Engineering Journal ◽

10.1016/j.aej.2020.02.036 ◽

2020 ◽

Vol 59 (5) ◽

pp. 2911-2919

Author(s):

Rabia Shikrani ◽

M.S. Hashmi ◽

Nargis Khan ◽

Abdul Ghaffar ◽

Kottakkaran Sooppy Nisar ◽

...

Keyword(s):

Differential Equations ◽

Numerical Approach ◽

Fractional Partial Differential Equations ◽

A new numerical approach to the solution of the 2-D Helmholtz equation with optimal accuracy on irregular domains and Cartesian meshes

Computational Mechanics ◽

10.1007/s00466-020-01814-4 ◽

2020 ◽

Vol 65 (4) ◽

pp. 1189-1204 ◽

Cited By ~ 3

Author(s):

A. Idesman ◽

B. Dey

Keyword(s):

Helmholtz Equation ◽

Numerical Approach ◽

Irregular Domains ◽

Cartesian Meshes ◽

Optimal Accuracy

A New Numerical Approach for the Solutions of Partial Differential Equations in Three-Dimensional Space

Applied Mathematics & Information Sciences ◽

10.18576/amis/100504 ◽

2016 ◽

Vol 10 (5) ◽

pp. 1663-1672 ◽

Cited By ~ 3

Author(s):

Brajesh Kumar Singh ◽

Carlo Bianca

Keyword(s):

Differential Equations ◽

Dimensional Space ◽

Three Dimensional ◽

Numerical Approach ◽

Partial Differential ◽

Three Dimensional Space

A Robust numerical approach for singularly perturbed time delayed parabolic partial differential equations

Computational Mathematics and Modeling ◽

10.1007/s10598-012-9122-5 ◽

2012 ◽

Vol 23 (1) ◽

pp. 96-106 ◽

Cited By ~ 8

Author(s):

Aditya Kaushik ◽

Manju Sharma

Keyword(s):

Differential Equations ◽

Numerical Approach ◽

Singularly Perturbed ◽

Parabolic Partial Differential Equations ◽

Domain decomposition and the numerical solution of partial differential equations defined on irregular domains using segmented forms of the tau lines method

International Journal of Computer Mathematics ◽

10.1080/00207169508804435 ◽

1995 ◽

Vol 58 (1-2) ◽

pp. 73-93 ◽

Cited By ~ 1

Author(s):

Y. M. Samrout

Keyword(s):

Differential Equations ◽

Domain Decomposition ◽

Numerical Solution ◽

Irregular Domains ◽

A numerical approach for fractional partial differential equations by using Ritz approximation

Applied Mathematics and Computation ◽

10.1016/j.amc.2018.05.043 ◽

2018 ◽

Vol 338 ◽

pp. 711-721 ◽

Cited By ~ 2

Author(s):

M.A. Firoozjaee ◽

S.A. Yousefi

Keyword(s):

Differential Equations ◽

Numerical Approach ◽

Fractional Partial Differential Equations ◽

Numerical approach for a class of distributed order time fractional partial differential equations

Applied Numerical Mathematics ◽

10.1016/j.apnum.2018.09.019 ◽

2019 ◽

Vol 136 ◽

pp. 152-162 ◽

Cited By ~ 21

Author(s):

B.P. Moghaddam ◽

J.A. Tenreiro Machado ◽

M.L. Morgado

Keyword(s):

Differential Equations ◽

Numerical Approach ◽

Fractional Partial Differential Equations ◽

Partial Differential ◽

Distributed Order

A Reduced Radial Basis Function Method for Partial Differential Equations on Irregular Domains

Journal of Scientific Computing ◽

10.1007/s10915-015-0013-8 ◽

2015 ◽

Vol 66 (1) ◽

pp. 67-90 ◽

Cited By ~ 8

Author(s):

Yanlai Chen ◽

Sigal Gottlieb ◽

Alfa Heryudono ◽

Akil Narayan

Keyword(s):

Differential Equations ◽

Radial Basis Function ◽

Basis Function ◽

Function Method ◽

Irregular Domains ◽

Partial Differential ◽

Radial Basis ◽

Radial Basis Function Method

The treatment of the Neumann boundary conditions for a new numerical approach to the solution of PDEs with optimal accuracy on irregular domains and Cartesian meshes

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/j.cma.2020.112985 ◽

2020 ◽

Vol 365 ◽

pp. 112985 ◽

Cited By ~ 2

Author(s):

A. Idesman ◽

B. Dey

Keyword(s):

Boundary Conditions ◽

Neumann Boundary ◽

Numerical Approach ◽

Neumann Boundary Conditions ◽

Irregular Domains ◽

Cartesian Meshes ◽

Optimal Accuracy

Radial function collocation solution of partial differential equations in irregular domains

International Journal of Computing Science and Mathematics ◽

10.1504/ijcsm.2007.013762 ◽

2007 ◽

Vol 1 (1) ◽

pp. 28 ◽

Cited By ~ 1

Author(s):

V. Pereyra ◽

G. Scherer ◽

P. Gonzalez Casanova

Keyword(s):

Differential Equations ◽

Radial Function ◽

Irregular Domains ◽

Partial Differential ◽

Collocation Solution